NIELIT 2019 Feb Scientist C - Section D: 27

Question

In a bangle shop. If the shopkeeper displays the bangles in the form of a square then he is left with $38$ bangles. If he wanted to increase the size of square by one bangle each side of the square he found that $25$ bangles fall short of in completing the square. The actual number of bangles which he had with him the shop was_________.

• A. $1690$
• B. $999$
• C. $538$
• D. $1000$

Answer 1

Let x be the no of bangles present in each side of a square, then according to the question

 

$x^2 + 38=(x+1)^2 -25\\ x=31 \\ Required \hspace{2mm} answer = 31^2 + 38= 999$

 

So, option B is right